By means of Density Functional Theory calculations we evaluate several lithium carbonate - graphite interface models as a prototype of the Solid Electrolyte Interphase capping layer on graphite anodes in lithium-ion batteries. It is found that only an (a,b)-oriented Li2CO3 slab promotes tight binding with graphite. Such mutual organization of the components combines their structural features and reproduces coordination environment of ions, resulting in an adhesive energy of 116 meV/{AA}2 between graphite and lithium carbonate. This model also presents a high potential affinity with bulk. The corresponding charge distribution at such interface induces an electric potential gradient, such a gradient having been experimentally observed. We regard the mentioned criteria as the key descriptors of the interface stability and recommend them as the principal assessments for such interface study. In addition, we evaluate the impact of lithiated graphite on the stability of the model interface and study the generation of different point defects as mediators for Li interface transport. It is found that Li diffusion is mainly provided by interstitials. The induced potential gradient fundamentally assists the intercalation up to lithiation ratio of 70%.
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